NO
(ignored inputs)COMMENT Cops #647 - #721: generated ground TRSs; evenly distributed in the UNR/UNC/NFP/CR hierarchy submitted by: Bertram Felgenhauer
input TRS:
   [ c -> b,
     h(b,a) -> b,
     a -> f(a),
     h(a,h(c,c)) -> f(h(b,f(c))),
     f(h(b,f(c))) -> f(a) ]
Try persistent and layer-preserving decomposition...
Sort Assignment:
 a : =>9
 b : =>9
 c : =>9
 f : 9=>9
 h : 9*9=>9
maximal types: {9}
...decomposition failed.
TRS:
   [ c -> b,
     h(b,a) -> b,
     a -> f(a),
     h(a,h(c,c)) -> f(h(b,f(c))),
     f(h(b,f(c))) -> f(a) ]
unknown Non-Omega-Overlapping
unknown Right-Reducible
Check distinct normal forms in critical pair closure...failed
New rules by rule reversing:
   [ c -> b,
     h(b,a) -> b,
     a -> a,
     f(a) -> a,
     h(a,h(c,c)) -> f(h(b,f(c))),
     f(h(b,f(c))) -> f(a) ]
constructed TRS:
   [ c -> b,
     h(b,a) -> b,
     a -> a,
     f(a) -> a,
     h(a,h(c,c)) -> f(h(b,f(c))),
     f(h(b,f(c))) -> f(a),
     h(a,h(b,c)) -> f(h(b,f(b))),
     h(a,h(c,b)) -> f(h(b,f(b))),
     f(a) -> f(h(b,f(b))),
     a -> f(h(b,f(b))),
     h(a,h(b,b)) -> f(h(b,f(b))) ]
convertible distinct normal forms: h(f(h(b,f(b))),h(b,b)) = f(h(b,f(b)))
UNC Completion (Strongly Closed)
problems/694.trs: Success(not UNC)
(4 msec.)